{"id":"https://openalex.org/W2003198230","doi":"https://doi.org/10.1007/s11222-013-9432-2","title":"Piecewise Approximate Bayesian Computation: fast inference for discretely observed Markov models using a factorised posterior distribution","display_name":"Piecewise Approximate Bayesian Computation: fast inference for discretely observed Markov models using a factorised posterior distribution","publication_year":2013,"publication_date":"2013-11-28","ids":{"openalex":"https://openalex.org/W2003198230","doi":"https://doi.org/10.1007/s11222-013-9432-2","mag":"2003198230","pmid":"https://pubmed.ncbi.nlm.nih.gov/26097293"},"language":"en","primary_location":{"id":"doi:10.1007/s11222-013-9432-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-013-9432-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-013-9432-2.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11222-013-9432-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031417057","display_name":"Simon R. White","orcid":"https://orcid.org/0000-0001-8642-7037"},"institutions":[{"id":"https://openalex.org/I4210134973","display_name":"MRC Biostatistics Unit","ror":"https://ror.org/046vje122","country_code":"GB","type":"facility","lineage":["https://openalex.org/I241749","https://openalex.org/I4210087105","https://openalex.org/I4210134973","https://openalex.org/I90344618"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"S. R. White","raw_affiliation_strings":["MRC Biostatistics Unit, Cambridge, CB2 0SR UK","MRC Biostatistics Unit, Cambridge, UK CB2 0SR#TAB#"],"affiliations":[{"raw_affiliation_string":"MRC Biostatistics Unit, Cambridge, CB2 0SR UK","institution_ids":["https://openalex.org/I4210134973"]},{"raw_affiliation_string":"MRC Biostatistics Unit, Cambridge, UK CB2 0SR#TAB#","institution_ids":["https://openalex.org/I4210134973"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091549401","display_name":"Theodore Kypraios","orcid":"https://orcid.org/0000-0002-6190-4762"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"T. Kypraios","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD UK","School of Mathematical Sciences, University of Nottingham, Nottingham, UK NG7 2RD#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD UK","institution_ids":["https://openalex.org/I142263535"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, Nottingham, UK NG7 2RD#TAB#","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041172026","display_name":"Simon Preston","orcid":"https://orcid.org/0000-0002-1910-4227"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"S. P. Preston","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD UK","School of Mathematical Sciences, University of Nottingham, Nottingham, UK NG7 2RD#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD UK","institution_ids":["https://openalex.org/I142263535"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, Nottingham, UK NG7 2RD#TAB#","institution_ids":["https://openalex.org/I142263535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031417057"],"corresponding_institution_ids":["https://openalex.org/I4210134973"],"apc_list":{"value":2090,"currency":"EUR","value_usd":2690},"apc_paid":{"value":2090,"currency":"EUR","value_usd":2690},"fwci":4.2336,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.94731382,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"25","issue":"2","first_page":"289","last_page":"301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/approximate-bayesian-computation","display_name":"Approximate Bayesian computation","score":0.7869667410850525},{"id":"https://openalex.org/keywords/posterior-probability","display_name":"Posterior probability","score":0.6032050251960754},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5929741263389587},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5039629340171814},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.49952268600463867},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.49582037329673767},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.4850853979587555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4671803116798401},{"id":"https://openalex.org/keywords/likelihood-function","display_name":"Likelihood function","score":0.4656895399093628},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45229992270469666},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.43745923042297363},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.43175801634788513},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36161041259765625},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3377637267112732},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25102826952934265},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24016723036766052},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.23158979415893555}],"concepts":[{"id":"https://openalex.org/C2779377595","wikidata":"https://www.wikidata.org/wiki/Q21045424","display_name":"Approximate Bayesian computation","level":3,"score":0.7869667410850525},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.6032050251960754},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5929741263389587},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5039629340171814},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.49952268600463867},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.49582037329673767},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4850853979587555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4671803116798401},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.4656895399093628},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45229992270469666},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.43745923042297363},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.43175801634788513},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36161041259765625},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3377637267112732},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25102826952934265},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24016723036766052},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.23158979415893555},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s11222-013-9432-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-013-9432-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-013-9432-2.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics and Computing","raw_type":"journal-article"},{"id":"pmid:26097293","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26097293","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics and computing","raw_type":null},{"id":"pmh:oai:nottingham-repository.worktribe.com:984874","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/984874","pdf_url":"https://nottingham-repository.worktribe.com/preview/984884/10.10072Fs11222-013-9432-2.pdf","source":{"id":"https://openalex.org/S4306402483","display_name":"Repository@Nottingham (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:eprints.nottingham.ac.uk:47125","is_oa":true,"landing_page_url":"https://link.springer.com/article/10.1007%2Fs11222-013-9432-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306402013","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:europepmc.org:3434322","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4470364","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s11222-013-9432-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11222-013-9432-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11222-013-9432-2.pdf","source":{"id":"https://openalex.org/S5437875","display_name":"Statistics and Computing","issn_l":"0960-3174","issn":["0960-3174","1573-1375"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G477120969","display_name":null,"funder_award_id":"U105260794","funder_id":"https://openalex.org/F4320334626","funder_display_name":"Medical Research Council"}],"funders":[{"id":"https://openalex.org/F4320334626","display_name":"Medical Research Council","ror":"https://ror.org/03x94j517"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2003198230.pdf","grobid_xml":"https://content.openalex.org/works/W2003198230.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1499965417","https://openalex.org/W1501586228","https://openalex.org/W1528236908","https://openalex.org/W1559342770","https://openalex.org/W1594863551","https://openalex.org/W1614515071","https://openalex.org/W1770825568","https://openalex.org/W1934021597","https://openalex.org/W1984217390","https://openalex.org/W1994884074","https://openalex.org/W2023581626","https://openalex.org/W2032051534","https://openalex.org/W2034795216","https://openalex.org/W2045973738","https://openalex.org/W2051129785","https://openalex.org/W2053332694","https://openalex.org/W2098754649","https://openalex.org/W2102370313","https://openalex.org/W2102787760","https://openalex.org/W2116416291","https://openalex.org/W2117706792","https://openalex.org/W2122028584","https://openalex.org/W2129905273","https://openalex.org/W2135267747","https://openalex.org/W2135346934","https://openalex.org/W2139812092","https://openalex.org/W2152246075","https://openalex.org/W2156984627","https://openalex.org/W2163727562","https://openalex.org/W2167947196","https://openalex.org/W2274286444","https://openalex.org/W2485594181","https://openalex.org/W2573031522","https://openalex.org/W2591957553","https://openalex.org/W2950223827","https://openalex.org/W3021444882","https://openalex.org/W4205814206","https://openalex.org/W4233014035","https://openalex.org/W4238717354","https://openalex.org/W4250117470","https://openalex.org/W4285719527","https://openalex.org/W6603989641"],"related_works":["https://openalex.org/W4289242714","https://openalex.org/W2902432378","https://openalex.org/W2027276540","https://openalex.org/W4205763938","https://openalex.org/W3175375146","https://openalex.org/W4287816205","https://openalex.org/W3008255512","https://openalex.org/W2161157985","https://openalex.org/W3183175807","https://openalex.org/W2749510482"],"abstract_inverted_index":{"Many":[0],"modern":[1],"statistical":[2],"applications":[3,56],"involve":[4],"inference":[5,35],"for":[6,10,88,156,165,178,205],"complicated":[7],"stochastic":[8],"models":[9,92],"which":[11],"the":[12,57,63,75,78,96,100,115,127,131,148,158,168,170,182,209,219,224,230,240,250],"likelihood":[13],"function":[14,109],"is":[15,172,184,199],"difficult":[16],"or":[17],"even":[18],"impossible":[19],"to":[20,51,133,144,173,185,236],"calculate,":[21],"and":[22,68,117,138,181,202,254],"hence":[23],"conventional":[24],"likelihood-based":[25],"inferential":[26],"techniques":[27],"cannot":[28],"be":[29,37,145],"used.":[30],"In":[31],"such":[32],"settings,":[33],"Bayesian":[34,41],"can":[36,71],"performed":[38],"using":[39,119,212],"Approximate":[40],"Computation":[42],"(ABC).":[43],"However,":[44],"in":[45,54,247],"spite":[46],"of":[47,60,65,77,99,105,110,114,129,167,221,232],"many":[48,55,206],"recent":[49],"developments":[50],"ABC":[52,61,85,120,163,227,233,242],"methodology,":[53],"computational":[58],"cost":[59],"necessitates":[62],"choice":[64],"summary":[66,136],"statistics":[67],"tolerances":[69],"that":[70,93],"potentially":[72],"severely":[73],"bias":[74],"estimate":[76,217],"posterior.":[79],"We":[80,152,238],"propose":[81],"a":[82,103,108,112,135,141,175,187,214],"new":[83],"\"piecewise\"":[84],"approach":[86,125,243,251],"suitable":[87],"discretely":[89],"observed":[90],"Markov":[91],"involves":[94],"writing":[95],"posterior":[97,149,159,228],"density":[98,160,189,216],"parameters":[101],"as":[102,229],"product":[104],"factors,":[106],"each":[107,122,166,179,248],"only":[111],"subset":[113],"data,":[116],"then":[118],"within":[121],"factor.":[123],"The":[124,196],"has":[126,218],"advantage":[128],"side-stepping":[130],"need":[132],"choose":[134],"statistic":[137],"it":[139],"enables":[140],"stringent":[142],"tolerance":[143],"set,":[146],"making":[147],"\"less":[150],"approximate\".":[151],"investigate":[153],"two":[154],"methods":[155,192],"estimating":[157,223],"based":[161],"on":[162],"samples":[164,234],"factors:":[169],"first":[171],"use":[174,186],"Gaussian":[176,197],"approximation":[177,198],"factor,":[180],"second":[183],"kernel":[188,215],"estimate.":[190],"Both":[191],"have":[193],"their":[194],"merits.":[195],"simple,":[200],"fast,":[201],"probably":[203],"adequate":[204],"applications.":[207],"On":[208],"other":[210],"hand,":[211],"instead":[213],"benefit":[220],"consistently":[222],"true":[225],"piecewise":[226,241],"number":[231],"tends":[235],"infinity.":[237],"illustrate":[239],"with":[244],"four":[245],"examples;":[246],"case,":[249],"offers":[252],"fast":[253],"accurate":[255],"inference.":[256]},"counts_by_year":[{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
